On the length of finite simple groups having chain difference one
โ Scribed by Joseph Petrillo
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 109 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
A finite group G is said to have chain difference one if the lengths of any two unrefinable subgroup chains of G differ by at most one. Finite simple groups of ลฝ chain difference one were classified by B. Brewster et al. 1993, J. Algebra 160, . 179แ191 using the classification of finite simple group
Given a finite group G, we denote by l G the length of the longest chain of subgroups of G. We study whether certain sets of non-isomorphic finite simple groups S with bounded l S are finite or infinite. We prove, in particular, that there exists an infinite number of non-isomorphic non-abelian fini